Central and Inscribed Angle

Front

What is a central angle?

Back

A central angle is an angle whose vertex is at the center of the circle and whose sides (rays) extend to the circumference.

Tags

CCSS.HSG.C.A.2

Front

What is an inscribed angle?

Back

An inscribed angle is an angle formed by two chords in a circle which have a common endpoint. The vertex of the angle is on the circle.

Tags

CCSS.4.MD.C.5B

CCSS.HSG.CO.A.1

Front

How do you calculate the measure of an inscribed angle?

Back

The measure of an inscribed angle is half the measure of the intercepted arc.

Tags

CCSS.HSG.C.A.2

Front

If the measure of arc AB is 68 degrees, what is the measure of the inscribed angle that intercepts arc AB?

Back

34 degrees.

Tags

CCSS.HSG.C.A.2

Front

What is the relationship between a central angle and its intercepted arc?

Back

The measure of a central angle is equal to the measure of its intercepted arc.

Tags

CCSS.HSG.C.B.5

Front

If angle K is 50 degrees and angle M is 100 degrees, what is the relationship between these angles?

Back

Angle K is an inscribed angle that intercepts the same arc as angle M, which is a central angle.

Tags

CCSS.HSG.C.A.2

Front

What is the measure of an arc if the inscribed angle is 34 degrees?

Back

The measure of the arc is 68 degrees.

Tags

CCSS.HSG.C.A.2

Front

What is the formula for finding the measure of an arc given the central angle?

Back

The measure of the arc is equal to the measure of the central angle.

Front

What is the measure of an inscribed angle if the intercepted arc measures 140 degrees?

Back

70 degrees.

Tags

CCSS.HSG.C.A.2

Front

What is the definition of an intercepted arc?

Back

An intercepted arc is the arc that lies in the interior of an inscribed angle and has endpoints on the angle.

Tags

CCSS.HSG.C.B.5